CN110490981A - A kind of eight yuan of primary colours HSB full gamut color space gridding methods and its discrete chromatography construction method - Google Patents
A kind of eight yuan of primary colours HSB full gamut color space gridding methods and its discrete chromatography construction method Download PDFInfo
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Abstract
The present invention relates to a kind of eight yuan of primary colours HSB full gamut color space gridding methods and its discrete chromatography construction methods, pass through the gridding digital model and discrete logarithm of color space, color value and mesh point coordinate value according to eight primary colours of HSB color space, the color-values and its distribution of any point, line, surface and spatial domain in HSB color space can be obtained rapidly, realize the discrete chromatography of HSB color space full gamut, the visualization for realizing color space full gamut color improves color matching working efficiency.
Description
Technical field
The present invention relates to a kind of eight yuan of primary colours HSB full gamut color space gridding methods and its discrete chromatography building sides
Method, belong to weaving, the dye material of printing industry, coating, ink color control technique field.
Background technique
HSB (Hue, Saturation and Brightness) color space is the one kind developed according to human visual
Color mode is by three essential characteristics of color --- form and aspect, lightness, saturation degree give the permutation and combination of system and constitute
Solid space composition.It using lightness is vertical axis, saturation degree (chroma) for trunnion axis, tone is that 0 ° -360 ° of hue circle describes
Color.HSB color space can be described with a conical space model.Tone number based on color space is more than 10,000,000
Kind, ordinary people can distinguish about 200 kinds of colorations, the color change of 50 species saturations and 500 grades of gray scales, and color professional person is distinguishable
About 300~400 kinds of the tone number recognized.
Weaving and printing industry often contaminate the mixture of the colorants such as material, coating, ink by several polynary primary colours to carry out color
Color regulation.Generally, color and mixed proportion and hybrid mode of the color of coloring material for mixing object depending on each colorant, not homochromy
Material can be carried out full and uniform mixing under the premise of, it is believed that mix colorant color depend largely on each colorant color and
Its mixed proportion.It is basic at present to construct HSB color space using pinkish red, yellow, green, black, Bai Dengwu primary colours, by red, yellow, green etc.
The mixing of colorant carries out tone regulation, carries out saturation degree by the mixing of the colorants such as black, white and lightness regulates and controls.
Coloration, saturation degree and lightness regulation are carried out using pinkish red, yellow, green, black, Bai Dengwu primary colours building HSB color space,
The problems such as it is low that there are color yields, and chromatography is relatively narrow, at the same it is existing theory substantially based on qualitative description, do not set up digital model and
Algorithm gives accurately quantitative guidance.Since the gridding technology of coloring material for mixing color space is digital dyeing and digital printing
How the key technology of industry it is empty by the coloring material for mixing of polynary primary colours construct full chromatography, high-fidelity, Well-recovered color
Between the building for how passing through the gridding digital model and discrete logarithm of color space solves any point, line, surface and area of space
The distribution of interior color this is the underlying issue for realizing visualization and the intelligent color matching of color space full gamut color.
Summary of the invention
Technical problem to be solved by the invention is to provide a kind of eight yuan of primary colours HSB full gamut color space gridding methods
And its discrete chromatography construction method, by the gridding digital model and discrete logarithm of color space, building solve arbitrary point,
The distribution of color in line, face and area of space can match for the visualization and intelligence for realizing color space full gamut color
Color provides algorithm, improves color matching working efficiency.
In order to solve the above-mentioned technical problem the present invention uses following technical scheme: the present invention devises a kind of eight yuan of primary colours
HSB full gamut color space gridding methods and its discrete chromatography construction method, for realizing eight primary colours based on mesh coordinate
The digital acquisition of HSB full gamut color space color, includes the following steps:
Step A. constructs 12 face centrums, and selects eight kinds of primary colours to correspond respectively to each vertex of 12 face centrums, and define
The upper and lower ends of 12 face centrums are respectively vertex O1With vertex O2, and for centre be successively defined as within one week vertex A, vertex B,
Vertex C, vertex D, vertex E, vertex F；
Then 12 face centrums are directed to, AB, BC, CD, DE, EF, FA, O are obtained1A、O1B、O1C、O1D、O1E、O1F、AO2、BO2、
CO2、DO2、EO2、FO2、O1O2Each crest line；
ACE、FDB、ABO1、BCO1、CDO1、DEO1、EFO1、FAO1、ABO2、BCO2、CDO2、DEO2、EFO2、FAO2、O1O2A、
O1O2B、O1O2C、O1O2D、O1O2E、O1O2The each triangle of F；
O1O2AB、O1O2BC、O1O2CD、O1O2DE、O1O2EF、O1O2The each tetrahedron of FA；
O1O2ACE、O1O2The each hexahedron of BDF；
Subsequently into step B；
Step B. is directed to each crest line respectively, carries out digitlization equidistant partition between two-end-point on crest line, obtains (n-1)
A mesh point and its coordinate value, in conjunction with the tristimulus values of the corresponding primary colours of crest line two-end-point difference, acquisition is sat with mesh point
It is designated as the interpolating function of independent variable, and is based on mesh point coordinate value, obtains the tristimulus values of each mesh point color, wherein n is pre-
If drawing number；
It is directed to each triangle respectively, grid digitlization equal portions are carried out in triangle and are divided, n* (n+1)/2 net is obtained
Lattice point and its coordinate value are obtained in conjunction with the tristimulus values of three corresponding primary colours of vertex difference on the triangle with mesh point
Coordinate value is the interpolating function of independent variable, and is based on mesh point coordinate value, obtains the tristimulus values of each mesh point color, wherein
N* (n+1)/2 is default stroke of number；
It is directed to each tetrahedron respectively, grid digitlization equal portions are carried out in tetrahedron and are divided, are obtainedA mesh point and its coordinate value, in conjunction with three of four corresponding primary colours of vertex difference on the tetrahedron
Values is obtained using mesh point coordinate value as the interpolating function of independent variable, and is based on mesh point coordinate value, obtains each mesh point color
Color tristimulus values, whereinNumber is drawn to be default；
It is directed to each hexahedron respectively, grid digitlization equal portions are carried out in hexahedron and are divided, are obtainedA mesh point and its coordinate value, in conjunction with three thorns of five corresponding primary colours of vertex difference on the hexahedron
Swash value, obtain using mesh point coordinate value as the interpolating function of independent variable, and be based on mesh point coordinate value, obtains each mesh point color
Tristimulus values, whereinNumber is drawn to be default；
Subsequently into step C；
Step C. distinguishes the tristimulus values and mesh point coordinate of corresponding eight yuan of primary colours according to vertex each on 12 face centrums
Value obtains in the upper each crest line of 12 face centrums, each triangle, each tetrahedron and each hexahedron, with mesh point coordinate
For the discrete distribution function of the color tristimulus values of independent variable, that is, realize eight yuan of primary colours HSB full gamut color space gridding moulds
The building of type and its discrete chromatography.
As a preferred technical solution of the present invention, in the step B, color three corresponding to each mesh point on each crest line
Values is as follows:
Wherein, i ∈ 1,2 ..., n, n+1, ri、gi、biIndicate the tristimulus values of color corresponding to each mesh point on crest line,
Rα、Gα、BαIndicate on crest line the wherein tristimulus values of primary colours α corresponding to end point, Rβ、Gβ、BβIndicate that another endpoint institute is right on rib
Answer the tristimulus values of primary colours β.
As a preferred technical solution of the present invention, in the step B, in each triangle projective planum corresponding to each mesh point
Color tristimulus values it is as follows:
Wherein, i=1,2 ..., n-1, n, n+1, j=1,2 ..., n-1, n, n+1, i+j≤(n+2), rΔ i, j、gΔ i, j、
bΔ i, jIndicate the tristimulus values of color corresponding to each mesh point in triangle projective planum, Rα、Gα、BαIndicate first vertex of triangle
The tristimulus values of corresponding primary colours α, Rβ、Gβ、BβIndicate the tristimulus values of primary colours β corresponding to second vertex of triangle, Rγ、Gγ、
BγIndicate the tristimulus values of primary colours γ corresponding to triangle third vertex.
As a preferred technical solution of the present invention, in the step B, color corresponding to each mesh point in each tetrahedron
Color tristimulus values is as follows:
Wherein, i ∈ 1,2 ..., n, n+1, j ∈ 1,2 ..., n, n+1, k ∈ 1,2 ..., n, n+1, and i+j≤(n+
2), i+k≤(n+2), k+j≤(n+2), r#i, j, k、g#i, j, k、b#i, j, kIndicate color corresponding to each mesh point in tetrahedron
Tristimulus values, Rα、Gα、BαIndicate the tristimulus values of primary colours α corresponding to the first vertex on tetrahedron, Rβ、Gβ、BβIt indicates on tetrahedron
The tristimulus values of primary colours β, R corresponding to second vertexγ、Gγ、BγIndicate three thorns of primary colours γ corresponding to third vertex on tetrahedron
Swash value, Rδ、Gδ、BδIndicate the tristimulus values of primary colours δ corresponding to the 4th vertex on tetrahedron.
As a preferred technical solution of the present invention, in the step B, color corresponding to each mesh point in each hexahedron
Color tristimulus values is as follows:
Wherein, i ∈ 1,2 ..., n, n+1, j ∈ 1,2 ..., n, n+1, k ∈ 1,2 ..., n, n+1, l ∈ 1,
2 ..., n, n+1 }, and i+j≤(n+2), i+k≤(n+2), i+l≤(n+2), j+k≤(n+2), j+l≤(n+2), k+l≤(n+
2), i, j, k, l respectively indicate the coordinate of hexahedron grid division point, rI, j, k, l、gI, j, k, l、bI, j, k, lIndicate each in hexahedron
The tristimulus values of color corresponding to mesh point, Rα、Gα、BαIndicate the tristimulus values of primary colours α corresponding to first end point on hexahedron,
Rβ、Gβ、BβIndicate the tristimulus values of primary colours β corresponding to the second endpoint on hexahedron, Rγ、Gγ、BγIndicate third endpoint on hexahedron
The tristimulus values of corresponding primary colours γ, Rδ、Gδ、BδIndicate the tristimulus values of primary colours δ corresponding to the 4th endpoint on hexahedron, Rε、Gε、
BεIndicate the tristimulus values of primary colours ε corresponding to the 5th endpoint on hexahedron.
As a preferred technical solution of the present invention, three thorns of the upper each corresponding primary colours of vertex difference of 12 face centrum
It is as follows to swash value:
A (255,0,0), B (255,255,0), C (0,255,0), D (0,255,255), E (0,0,255), F (255,0,
255)、O1(255,255,255), O2(0,0,0) is then based on n=10, that is, realizes that the full gamut of eight primary colours HSB color spaces is discrete
The acquisition of color.
A kind of eight yuan of primary colours HSB full gamut color space gridding methods of the present invention and its discrete chromatography building side
Method has following technical effect that compared with the prior art by using the above technical solution
(1) present invention designs a kind of eight yuan of primary colours HSB full gamut color space gridding methods and its building of discrete chromatography
Method, by the gridding digital model and discrete logarithm of color space, according to eight primary colours of HSB color space color value and
Mesh point coordinate value can obtain rapidly the color-values and its distribution of any point, line, surface and spatial domain in HSB color space, realize
The discrete chromatography of HSB color space full gamut, realizes the visualization of color space full gamut color, improves color matching work effect
Rate.
(2) present invention designs a kind of eight yuan of primary colours HSB full gamut color space gridding methods and its building of discrete chromatography
Method, by being distributed in the mesh point of panchromatic domain space, directly illustrate by eight yuan of primary colours arbitrarily choose two groups of different base colors into
The secondary colours gradual change chromatography of the obtained seriation of row mixed discrete, You Bayuan primary colours arbitrarily choose three groups of different base colors carry out from
The tertiary colo(u)r(s) gradual change chromatography of the obtained seriation of mixing is dissipated, You Bayuan primary colours arbitrarily choose four groups of different base colors and carry out discrete mix
Four color gradual change chromatographies of obtained seriation are closed, You Bayuan primary colours arbitrarily choose five groups of different base colors and carry out mixed discrete institute
Five color gradual change chromatographies of obtained seriation innovate Color Scheme, provide number for the changing rule for deducing mixed color
The calculation method of change.
(3) present invention designs a kind of eight yuan of primary colours HSB full gamut color space gridding methods and its building of discrete chromatography
Method can need the type, quantity of preferably polynary primary colours to construct color model, according to discrete chromatography according to practice
The gridding scale of required precision Optimized model.When constructing color model, HSB/HSV/HSL/HIS color mould can be used
Type, can also be with color model such as RGB, YUV/YIQ, CMYK, CIE.
(4) present invention designs a kind of eight yuan of primary colours HSB full gamut color space gridding methods and its discrete chromatography algorithm,
It can be applied to the mixing of coloured light.It can also apply to the mixing of colorant, the spatial juxtaposition mixing of color fibre can also be applied to.
Detailed description of the invention
Fig. 1 is the present invention eight yuan of primary colours HSB full gamut color space gridding methods of design and its discrete chromatography building side
The flow diagram of method；
Fig. 2 is 12 face centrum schematic diagrames in present invention design；
Fig. 3 is the embodiment application schematic diagram of 12 face centrums in present invention design.
Specific embodiment
Specific embodiments of the present invention will be described in further detail with reference to the accompanying drawings of the specification.
The present invention devises a kind of eight yuan of primary colours HSB full gamut color space gridding methods and its discrete chromatography building side
Method, for realizing the digital acquisition of the eight primary colours HSB full gamut color space colors based on mesh coordinate, practical application is worked as
In, select red, yellow, green, blue, blueness, magenta, black, white eight kinds of primary colours to be practiced, as shown in Figure 1, specifically including following step
Suddenly.
Step A. constructs 12 face centrums, as shown in Fig. 2, and eight kinds of primary colours is selected to correspond respectively to each tops of 12 face centrums
Point, and the upper and lower ends for defining 12 face centrums are respectively vertex O1With vertex O2, and for centre be successively defined as vertex within one week
A, vertex B, vertex C, vertex D, vertex E, vertex F, i.e., as shown in figure 3, red, yellow, green, blue, blueness, magenta, black, white eight kinds of primary colours
Respectively correspond each vertex.Wherein, the rgb value of eight primary colours and HSB value are as shown in table 1 below, i.e. A (255,0,0), B (255,255,
0), C (0,255,0), D (0,255,255), E (0,0,255), F (255,0,255), O1(255,255,255), O2(0,0,0).
Table 1
Then 12 face centrums are directed to, AB, BC, CD, DE, EF, FA, O are obtained1A、O1B、O1C、O1D、O1E、O1F、AO2、BO2、
CO2、DO2、EO2、FO2、O1O2Each crest line；
ACE、FDB、ABO1、BCO1、CDO1、DEO1、EFO1、FAO1、ABO2、BCO2、CDO2、DEO2、EFO2、FAO2、O1O2A、
O1O2B、O1O2C、O1O2D、O1O2E、O1O2The each triangle of F；
O1O2AB、O1O2BC、O1O2CD、O1O2DE、O1O2EF、O1O2The each tetrahedron of FA；
O1O2ACE、O1O2The each hexahedron of BDF；
Subsequently into step B.
Step B. is directed to each crest line respectively, carries out digitlization equidistant partition between two-end-point on crest line, obtains (n-1)
A mesh point and its coordinate value, in conjunction with the tristimulus values of the corresponding primary colours of crest line two-end-point difference, acquisition is sat with mesh point
It is designated as the interpolating function of independent variable, and is based on mesh point coordinate value, the tristimulus values for obtaining each mesh point color is as follows:
Wherein, n be it is default draw a number, i ∈ 1,2 ..., n, n+1, ri、gi、biIt indicates on crest line corresponding to each mesh point
The tristimulus values of color, Rα、Gα、BαIndicate on crest line the wherein tristimulus values of primary colours α corresponding to end point, Rβ、Gβ、BβIndicate rib
The tristimulus values of primary colours β corresponding to upper another endpoint.
Then on eight each crest lines of primary colours HSB color space each mesh point color tristimulus values, as shown in table 2 below.
Table 2
It is directed to each triangle respectively, grid digitlization equal portions are carried out in triangle and are divided, n* (n+1)/2 net is obtained
Lattice point and its coordinate value are obtained in conjunction with the tristimulus values of three corresponding primary colours of vertex difference on the triangle with mesh point
Coordinate value is the interpolating function of independent variable, and is based on mesh point coordinate value, and the tristimulus values for obtaining each mesh point color is as follows:
Wherein, n* (n+1)/2 is default stroke of number, i=1,2 ..., n-1, n, n+1, j=1,2 ..., n-1, n, n+1, i+
J≤(n+2), rΔ i, j、gΔ i, j、bΔ i, jIndicate the tristimulus values of color corresponding to each mesh point in triangle projective planum, Rα、Gα、BαTable
Show the tristimulus values of primary colours α corresponding to first vertex of triangle, Rβ、Gβ、BβIndicate primary colours corresponding to second vertex of triangle
The tristimulus values of β, Rγ、Gγ、BγIndicate the tristimulus values of primary colours γ corresponding to triangle third vertex.
Then on eight each triangles of primary colours HSB color space each mesh point color tristimulus values, as shown in table 3 below.
Table 3
It is directed to each tetrahedron respectively, grid digitlization equal portions are carried out in tetrahedron and are divided, are obtainedA mesh point and its coordinate value, in conjunction with three of four corresponding primary colours of vertex difference on the tetrahedron
Values is obtained using mesh point coordinate value as the interpolating function of independent variable, and is based on mesh point coordinate value, obtains each mesh point institute
Corresponding color tristimulus values is as follows:
Wherein,Draw a number to be default, i ∈ 1,2 ..., n, n+1, j ∈ 1,2 ..., n, n+
1 }, k ∈ 1,2 ..., n, n+l, and i+j≤(n+2), i+k≤(n+2), k+j≤(n+2), r#i, j, k、g#i, j, k、b#i, j, kIt indicates
The tristimulus values of color corresponding to each mesh point, R in tetrahedronα、Gα、BαIndicate primary colours α corresponding to the first vertex on tetrahedron
Tristimulus values, Rβ、Gβ、BβIndicate the tristimulus values of primary colours β corresponding to the second vertex on tetrahedron, Rγ、Gγ、BγIndicate four sides
The tristimulus values of primary colours γ corresponding to third vertex, R on bodyδ、Gδ、BδIndicate three of primary colours δ corresponding to the 4th vertex on tetrahedron
Values.
Then on eight each tetrahedrons of primary colours HSB color space each mesh point color tristimulus values, as shown in table 4 below.
Table 4
It is directed to each hexahedron respectively, grid digitlization equal portions are carried out in hexahedron and are divided, are obtainedA mesh point and its coordinate value, in conjunction with three thorns of five corresponding primary colours of vertex difference on the hexahedron
Swash value, obtain using mesh point coordinate value as the interpolating function of independent variable, and be based on mesh point coordinate value, it is right to obtain each mesh point institute
The color tristimulus values answered is as follows:
Wherein,Draw a number to be default, i ∈ 1,2 ..., n, n+1, j ∈ 1,2 ..., n, n+1, k
∈ 1,2 ..., n, n+1, l ∈ 1,2 ..., n, n+1, and i+j≤(n+2), i+k≤(n+2), i+l≤(n+2), j+k≤(n
+ 2), j+l≤(n+2), k+l≤(n+2), i, j, k, l respectively indicate the coordinate of hexahedron grid division point, rI, j, k, l、gI, j, k, l、
bI, j, k, lIndicate the tristimulus values of color corresponding to each mesh point in hexahedron, Rα、Gα、BαIndicate first end point on hexahedron
The tristimulus values of corresponding primary colours α, Rβ、Gβ、BβIndicate the tristimulus values of primary colours β corresponding to the second endpoint on hexahedron, Rγ、Gγ、
BγIndicate the tristimulus values of primary colours γ corresponding to third endpoint on hexahedron, Rδ、Gδ、BδIndicate that the 4th endpoint institute is right on hexahedron
Answer the tristimulus values of primary colours δ, Rε、Gε、BεIndicate the tristimulus values of primary colours ε corresponding to the 5th endpoint on hexahedron.
Then on eight each hexahedrons of primary colours HSB color space each mesh point color tristimulus values, as shown in table 5 below.
Table 5
Subsequently into step C.
Step C. distinguishes the tristimulus values and mesh point coordinate of corresponding eight yuan of primary colours according to vertex each on 12 face centrums
Value obtains in the upper each crest line of 12 face centrums, each triangle, each tetrahedron and each hexahedron, with mesh point coordinate
For the discrete distribution function of the color tristimulus values of independent variable, that is, realize eight yuan of primary colours HSB full gamut color space gridding moulds
The building of type and its discrete chromatography.
In practical application, that is, it is based on n=10, the secondary colours colour mixture chromatography of eight yuan of primary colours is as shown in table 6 below.
Table 6
Equally be based on n=10, the rgb value (first group) of eight yuan of each network of triangle lattice point colors of primary colours HSB color space, such as
Shown in the following table 7-1；The rgb value (second group) of eight yuan of each network of triangle lattice point colors of primary colours HSB color space, such as following table 7-2 institute
Show, the rgb value (third group) of eight yuan of each network of triangle lattice point colors of primary colours HSB color space, as shown in following table 7-3.
Table 7-1
Table 7-2
Table 7-3
It is also based on n=10, the rgb value of grid color on eight yuan of each tetrahedrons of primary colours HSB color space, such as the following table 8 institute
Show.
Table 8
Eight yuan of primary colours HSB full gamut color space gridding methods designed by above-mentioned technical proposal and its building of discrete chromatography
Method, by the gridding digital model and discrete logarithm of color space, according to eight primary colours of HSB color space color value and
Mesh point coordinate value can obtain rapidly the color-values and its distribution of any point, line, surface and spatial domain in HSB color space, realize
The discrete chromatography of HSB color space full gamut, realizes the visualization of color space full gamut color, improves color matching work effect
Rate；And the mesh point by being distributed in panchromatic domain space, it directly illustrates and arbitrarily chooses two groups of different base colors by eight yuan of primary colours
The secondary colours gradual change chromatography of the obtained seriation of mixed discrete is carried out, You Bayuan primary colours are arbitrarily chosen three groups of different base colors and carried out
The tertiary colo(u)r(s) gradual change chromatography of the obtained seriation of mixed discrete, it is discrete that You Bayuan primary colours arbitrarily choose four groups of different base colors progress
Four color gradual change chromatographies of obtained seriation are mixed, You Bayuan primary colours arbitrarily choose five groups of different base colors and carry out mixed discrete
Five color gradual change chromatographies of obtained seriation innovate Color Scheme, provide number for the changing rule for deducing mixed color
The calculation method of word；The present invention can need the type, quantity of preferably polynary primary colours to construct color according to practice simultaneously
Model, according to the gridding scale of the required precision Optimized model to discrete chromatography.When constructing color model, can use
HSB/HSV/HSL/HIS color model, can also be with color model such as RGB, YUV/YIQ, CMYK, CIE；The present invention not only may be used
Applied to the mixing of coloured light, the mixing of colorant can also be applied to, the spatial juxtaposition mixing of color fibre can also be applied to.
Embodiments of the present invention are explained in detail above in conjunction with attached drawing, but the present invention is not limited to above-mentioned implementations
Mode within the knowledge of a person skilled in the art can also be without departing from the purpose of the present invention
It makes a variety of changes.
Claims (6)
1. a kind of eight yuan of primary colours HSB full gamut color space gridding methods and its discrete chromatography construction method, for realizing base
In the digital acquisition of eight primary colours HSB full gamut color space colors of mesh coordinate, which comprises the steps of:
Step A. constructs 12 face centrums, and selects eight kinds of primary colours to correspond respectively to each vertex of 12 face centrums, and define 12 face centrums
Upper and lower ends be respectively vertex O1With vertex O2, and for centre be successively defined as within one week vertex A, vertex B, vertex C, push up
Point D, vertex E, vertex F；
Then 12 face centrums are directed to, AB, BC, CD, DE, EF, FA, O are obtained1A、O1B、O1C、O1D、O1E、O1F、AO2、BO2、CO2、
DO2、EO2、FO2、O1O2Each crest line；
ACE、FDB、ABO1、BCO1、CDO1、DEO1、EFO1、FAO1、ABO2、BCO2、CDO2、DEO2、EFO2、FAO2、O1O2A、
O1O2B、O1O2C、O1O2D、O1O2E、O1O2The each triangle of F；
O1O2AB、O1O2BC、O1O2CD、O1O2DE、O1O2EF、O1O2The each tetrahedron of FA；
O1O2ACE、O1O2The each hexahedron of BDF；
Subsequently into step B；
Step B. is directed to each crest line respectively, carries out digitlization equidistant partition between two-end-point on crest line, obtains (n-1) a net
Lattice point and its coordinate value, in conjunction with the tristimulus values of the corresponding primary colours of crest line two-end-point difference, acquisition is with mesh point coordinate
The interpolating function of independent variable, and it is based on mesh point coordinate value, obtain the tristimulus values of each mesh point color, wherein n is default draws
Number；
It is directed to each triangle respectively, grid digitlization equal portions are carried out in triangle and are divided, n* (n+1)/2 mesh point is obtained
And its coordinate value is obtained in conjunction with the tristimulus values of three corresponding primary colours of vertex difference on the triangle with mesh point coordinate
Value is the interpolating function of independent variable, and is based on mesh point coordinate value, obtains the tristimulus values of each mesh point color, wherein n* (n+
1)/2 number is drawn to be default；
It is directed to each tetrahedron respectively, grid digitlization equal portions are carried out in tetrahedron and are divided, are obtained
A mesh point and its coordinate value are obtained in conjunction with the tristimulus values of four corresponding primary colours of vertex difference on the tetrahedron with net
Lattice point coordinate value is the interpolating function of independent variable, and is based on mesh point coordinate value, obtains the tristimulus values of each mesh point color,
In,Number is drawn to be default；
It is directed to each hexahedron respectively, grid digitlization equal portions are carried out in hexahedron and are divided, are obtainedA net
Lattice point and its coordinate value are obtained in conjunction with the tristimulus values of five corresponding primary colours of vertex difference on the hexahedron with mesh point
Coordinate value is the interpolating function of independent variable, and is based on mesh point coordinate value, obtains the tristimulus values of each mesh point color, whereinNumber is drawn to be default；
Subsequently into step C；
Step C. distinguishes the tristimulus values and mesh point coordinate value of corresponding eight yuan of primary colours according to vertex each on 12 face centrums,
It obtains in the upper each crest line of 12 face centrums, each triangle, each tetrahedron and each hexahedron, is with mesh point coordinate
The discrete distribution function of the color tristimulus values of independent variable realizes eight yuan of primary colours HSB full gamut color space gridding methods
And its building of discrete chromatography.
2. a kind of eight yuan of primary colours HSB full gamut color space gridding methods and its discrete chromatography structure according to claim 1
Construction method, which is characterized in that in the step B, color tristimulus values corresponding to each mesh point is as follows on each crest line:
Wherein, i ∈ 1,2 ..., n, n+1, ri、gi、biIndicate the tristimulus values of color corresponding to each mesh point on crest line, Rα、
Gα、BαIndicate on crest line the wherein tristimulus values of primary colours α corresponding to end point, Rβ、Gβ、BβIndicate base corresponding to another endpoint on rib
The tristimulus values of color β.
3. a kind of eight yuan of primary colours HSB full gamut color space gridding methods and its discrete chromatography structure according to claim 1
Construction method, which is characterized in that in the step B, color tristimulus values corresponding to each mesh point is as follows in each triangle projective planum:
Wherein, i=1,2 ..., n-1, n, n+1, j=1,2 ..., n-1, n, n+1, i+j≤(n+2), rΔi,j、gΔi,j、bΔi,jTable
Show the tristimulus values of color corresponding to each mesh point in triangle projective planum, Rα、Gα、BαIt indicates corresponding to first vertex of triangle
The tristimulus values of primary colours α, Rβ、Gβ、BβIndicate the tristimulus values of primary colours β corresponding to second vertex of triangle, Rγ、Gγ、BγIt indicates
The tristimulus values of primary colours γ corresponding to triangle third vertex.
4. a kind of eight yuan of primary colours HSB full gamut color space gridding methods and its discrete chromatography structure according to claim 1
Construction method, which is characterized in that in the step B, color tristimulus values corresponding to each mesh point is as follows in each tetrahedron:
Wherein, i ∈ 1,2 ..., n, n+1, j ∈ 1,2 ..., n, n+1, k ∈ 1,2 ..., n, n+1, and i+j≤(n+2), i
+ k≤(n+2), k+j≤(n+2), r#i,j,k、g#i,j,k、b#i,j,kIndicate three thorns of color corresponding to each mesh point in tetrahedron
Swash value, Rα、Gα、BαIndicate the tristimulus values of primary colours α corresponding to the first vertex on tetrahedron, Rβ、Gβ、BβIt indicates second on tetrahedron
The tristimulus values of primary colours β, R corresponding to vertexγ、Gγ、BγIndicate the tristimulus values of primary colours γ corresponding to third vertex on tetrahedron,
Rδ、Gδ、BδIndicate the tristimulus values of primary colours δ corresponding to the 4th vertex on tetrahedron.
5. a kind of eight yuan of primary colours HSB full gamut color space gridding methods and its discrete chromatography structure according to claim 1
Construction method, which is characterized in that in the step B, color tristimulus values corresponding to each mesh point is as follows in each hexahedron:
Wherein, i ∈ 1,2 ..., n, n+1, j ∈ 1,2 ..., n, n+1, k ∈ 1,2 ..., n, n+1, l ∈ 1,2 ..., n, n
+ 1 }, and i+j≤(n+2), i+k≤(n+2), i+l≤(n+2), j+k≤(n+2), j+l≤(n+2), k+l≤(n+2), i, j,
K, l respectively indicates the coordinate of hexahedron grid division point, ri,j,k,l、gi,j,k,l、bi,j,k,lIndicate each mesh point institute in hexahedron
The tristimulus values of corresponding color, Rα、Gα、BαIndicate the tristimulus values of primary colours α corresponding to first end point on hexahedron, Rβ、Gβ、BβTable
Show the tristimulus values of primary colours β corresponding to the second endpoint on hexahedron, Rγ、Gγ、BγIndicate base corresponding to third endpoint on hexahedron
The tristimulus values of color γ, Rδ、Gδ、BδIndicate the tristimulus values of primary colours δ corresponding to the 4th endpoint on hexahedron, Rε、Gε、BεIndicate six
The tristimulus values of primary colours ε corresponding to 5th endpoint on the body of face.
6. a kind of eight yuan of primary colours HSB full gamut color space gridding methods and its discrete chromatography structure according to claim 1
Construction method, which is characterized in that the tristimulus values of the upper each corresponding primary colours of vertex difference of 12 face centrum is as follows:
A(255,0,0)、B(255,255,0)、C(0,255,0)、D(0,255,255)、E(0,0,255)、F(255,0,255)、O1
(255,255,255)、O2(0,0,0) is then based on n=10, that is, realizes the full gamut discrete color of eight primary colours HSB color spaces
It obtains.
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| PCT/CN2019/115237 WO2021027089A1 (en) | 2019-08-14 | 2019-11-04 | Gridding model of eight-element primary color wide-gamut hsb color space and discrete color spectrum construction method therefor |
| EP19856462.7A EP3809378A4 (en) | 2019-08-14 | 2019-11-04 | Gridding model of eight-element primary color wide-gamut hsb color space and discrete color spectrum construction method therefor |
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